Search a number
-
+
54997278 = 23717223197
BaseRepresentation
bin1101000111001…
…1000100011110
310211111011002020
43101303010132
5103034403103
65242441010
71235316630
oct321630436
9124434066
1054997278
11290542a6
1216503166
13b517b8b
147438a50
154c65753
hex347311e

54997278 has 96 divisors (see below), whose sum is σ = 140050944. Its totient is φ = 14074368.

The previous prime is 54997273. The next prime is 54997291. The reversal of 54997278 is 87279945.

54997278 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 54997278.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54997273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279076 + ... + 279272.

It is an arithmetic number, because the mean of its divisors is an integer number (1458864).

Almost surely, 254997278 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54997278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70025472).

54997278 is an abundant number, since it is smaller than the sum of its proper divisors (85053666).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54997278 is a wasteful number, since it uses less digits than its factorization.

54997278 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 249 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 51.

The square root of 54997278 is about 7416.0149676224. The cubic root of 54997278 is about 380.2889722535.

The spelling of 54997278 in words is "fifty-four million, nine hundred ninety-seven thousand, two hundred seventy-eight".

Divisors: 1 2 3 6 7 14 17 21 23 34 42 46 51 69 102 119 138 161 197 238 289 322 357 391 394 483 578 591 714 782 867 966 1173 1182 1379 1734 2023 2346 2737 2758 3349 4046 4137 4531 5474 6069 6647 6698 8211 8274 9062 10047 12138 13294 13593 16422 19941 20094 23443 27186 31717 39882 46529 46886 56933 63434 70329 77027 93058 95151 113866 139587 140658 154054 170799 190302 231081 279174 341598 398531 462162 539189 797062 1078378 1195593 1309459 1617567 2391186 2618918 3235134 3928377 7856754 9166213 18332426 27498639 54997278